Do these have to be British songs? George M. Cohan wrote during WWI, including Over There, You're a Grand Old Flag, (I'm a) (I'm a) Yankee Doodle Dandy, and all the music to the movie Yankee Doodle, starring Jimmy Cagney.

A verse that my mom sang to Oh! How I Hate to Get Up in the Morning:

Oh boy the minute the war is over
Oh boy the minute the foe is dead
I'll put my uniform away
And move to Phila delphi-ay
And spend
The rest of my life in bed.